Hello What is the required sleep cycle, sleep time for a 2 year - 5-year-old child? during the day.

Red Nose does not provide information in relation to sleep cycles/periods.
Our information is related to safety during sleep including risk factors & sleep environment particularly for infants.
Are you asking as a parent or as a child care Educator?

There is some information on sites like Raising Children Network.
https://raisingchildren.net.au/preschoolers/sleep
https://raisingchildren.net.au/toddlers/sleep

Your local Child/maternal Health Nurses can also be helpful.